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  2. Bitwise operation - Wikipedia

    en.wikipedia.org/wiki/Bitwise_operation

    A bitwise AND is a binary operation that takes two equal-length binary representations and performs the logical AND operation on each pair of the corresponding bits. Thus, if both bits in the compared position are 1, the bit in the resulting binary representation is 1 (1 × 1 = 1); otherwise, the result is 0 (1 × 0 = 0 and 0 × 0 = 0).

  3. Josephus problem - Wikipedia

    en.wikipedia.org/wiki/Josephus_problem

    The easiest way to find the safe position is by using bitwise operators. In this approach, shifting the most-significant set bit of n to the least significant bit will return the safe position. [11] Input must be a positive integer. n = 1 0 1 0 0 1 n = 0 1 0 0 1 1

  4. Bit array - Wikipedia

    en.wikipedia.org/wiki/Bit_array

    If we wish to find the number of 1 bits in a bit array, sometimes called the population count or Hamming weight, there are efficient branch-free algorithms that can compute the number of bits in a word using a series of simple bit operations. We simply run such an algorithm on each word and keep a running total. Counting zeros is similar.

  5. Arithmetic shift - Wikipedia

    en.wikipedia.org/wiki/Arithmetic_shift

    The formal definition of an arithmetic shift, from Federal Standard 1037C is that it is: . A shift, applied to the representation of a number in a fixed radix numeration system and in a fixed-point representation system, and in which only the characters representing the fixed-point part of the number are moved.

  6. Bit manipulation - Wikipedia

    en.wikipedia.org/wiki/Bit_manipulation

    A bitwise operation operates on one or more bit patterns or binary numerals at the level of their individual bits.It is a fast, primitive action directly supported by the central processing unit (CPU), and is used to manipulate values for comparisons and calculations.

  7. Bitwise trie with bitmap - Wikipedia

    en.wikipedia.org/wiki/Bitwise_trie_with_bitmap

    To give an example that explains the difference between "classic" tries and bitwise tries: For numbers as keys, the alphabet for a trie could consist of the symbols '0' .. '9' to represent digits of a number in the decimal system and the nodes would have up to 10 possible children. A trie with the keys "07" and "42".

  8. Bitap algorithm - Wikipedia

    en.wikipedia.org/wiki/Bitap_algorithm

    The bitap algorithm (also known as the shift-or, shift-and or Baeza-Yates-Gonnet algorithm) is an approximate string matching algorithm. The algorithm tells whether a given text contains a substring which is "approximately equal" to a given pattern, where approximate equality is defined in terms of Levenshtein distance – if the substring and pattern are within a given distance k of each ...

  9. Lagged Fibonacci generator - Wikipedia

    en.wikipedia.org/wiki/Lagged_Fibonacci_generator

    The maximum period of lagged Fibonacci generators depends on the binary operation .If addition or subtraction is used, the maximum period is (2 k − 1) × 2 M−1.If multiplication is used, the maximum period is (2 k − 1) × 2 M−3, or 1/4 of period of the additive case.